Description

All the tennis players are ordered by their results in an ATP (Association of Tennis Professionals) classification. The past year's statistics say that in a game, if the difference between the two opponents is more than k places in the ATP top, then the player with the better classification will win for sure; but if the difference between the players is of k places or less, then the winner is uncertain.

In a tournament that will take place in an eliminatory system, n professional players announced their participation (n = 2^x, x∈N, n <= 5000). Find the player with the worst classification who could theoretically win the tournament.

Input

The input contains n and k separated by one space.

Output

The output contains a single integer, the position in the ATP classification who will win the tournament.

16 3

11

Source

Romania OI 2002